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Finding the Fourth Proportional to 8,139.75, 11,229.06 and 4,781.49

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Solution

The fourth proportional to 8,139.75, 11,229.06 and 4,781.49 is: 6,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.75 : 11,229.06 = 4,781.49 : x
  2. Step 2: Convert to fraction form
    8,139.75/11,229.06 = 4,781.49/x
  3. Step 3: Cross multiply
    8,139.75x = 11,229.06 × 4,781.49
  4. Step 4: Simplify right side
    8,139.75x = 53,691,581.95
  5. Step 5: Solve for x
    x = 53,691,581.95/8,139.75
  6. Step 6: Final answer
    x = 6,596.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.